MARC details
| 000 -LEADER |
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| fixed length control field |
02115nam a22002897a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250228111455.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250224b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540660651 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
517.9 |
| Item number |
SAI-G |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Saito, Mutsumi |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Gröbner deformations of hypergeometric differential equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2000. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
viii, 254 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Algorithms and computation in mathematics, |
| Volume/sequential designation |
v. 6 |
| International Standard Serial Number |
1431-1550 ; |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. [245]-249) and index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gröbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Gröbner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The Gröbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and leads to an unexpected interplay between analysis and combinatorics. This book contains a number of original research results on holonomic systems and hypergeometric functions, and raises many open problems for future research in this area. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Gröbner bases |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations |
| General subdivision |
Asymptotic theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Hypergeometric functions |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Sturmfels, Bernd |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Takayama, Nobuki |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of content |
| Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-3-662-04112-3/1">https://link.springer.com/content/pdf/bfm:978-3-662-04112-3/1</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/5450552-groebner-deformations-of-hypergeometric-differential-equations-algorith#CommunityReviews">https://www.goodreads.com/book/show/5450552-groebner-deformations-of-hypergeometric-differential-equations-algorith#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
